Robust binary linear programming under implementation uncertainty
This article studies binary linear programming problems in the presence of uncertainties that may prevent implementing the computed solution. This type of uncertainty, called implementation uncertainty, is modelled affecting the decision variables rather than model parameters. The binary nature of t...
Uložené v:
| Vydané v: | Engineering optimization Ročník 56; číslo 2; s. 219 - 239 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Abingdon
Taylor & Francis
01.02.2024
Taylor & Francis Ltd |
| Predmet: | |
| ISSN: | 0305-215X, 1029-0273 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | This article studies binary linear programming problems in the presence of uncertainties that may prevent implementing the computed solution. This type of uncertainty, called implementation uncertainty, is modelled affecting the decision variables rather than model parameters. The binary nature of the decision variables invalidates using existing robust models for implementation uncertainty. The robust solutions obtained are optimal for a worst-case min-max objective. Structural properties allow the reformulation of the problem as a binary linear program. Constraint relaxation and cardinality-constrained parameters control the degree of solution conservatism. An optimization problem permits the selection of solutions from the obtained set of robust solutions. Results from a case study in the context of the knapsack problem suggest the methodology yields solutions that perform well in terms of objective value and feasibility. Furthermore, the selection approach can identify robust solutions with desirable implementation characteristics. |
|---|---|
| AbstractList | This article studies binary linear programming problems in the presence of uncertainties that may prevent implementing the computed solution. This type of uncertainty, called implementation uncertainty, is modelled affecting the decision variables rather than model parameters. The binary nature of the decision variables invalidates using existing robust models for implementation uncertainty. The robust solutions obtained are optimal for a worst-case min–max objective. Structural properties allow the reformulation of the problem as a binary linear program. Constraint relaxation and cardinality-constrained parameters control the degree of solution conservatism. An optimization problem permits the selection of solutions from the obtained set of robust solutions. Results from a case study in the context of the knapsack problem suggest the methodology yields solutions that perform well in terms of objective value and feasibility. Furthermore, the selection approach can identify robust solutions with desirable implementation characteristics. |
| Author | Ramirez-Calderon, Jose Jorge Leon, V. Lawrence, Barry |
| Author_xml | – sequence: 1 givenname: Jose orcidid: 0000-0002-8414-6597 surname: Ramirez-Calderon fullname: Ramirez-Calderon, Jose email: joser@galileo.edu organization: Texas A&M University – sequence: 2 givenname: V. surname: Jorge Leon fullname: Jorge Leon, V. organization: Texas A&M University – sequence: 3 givenname: Barry surname: Lawrence fullname: Lawrence, Barry organization: Texas A&M University |
| BookMark | eNp9kE9rwzAMxc3oYG23jzAI7JxOspPUua2U_YPCYGywm3ESu7gkdmc7jH77ubS77iQhfu9JejMysc4qQm4RFggc7oFBSbH8WlCgdJE6QI4XZIpA6xzokk3I9MjkR-iKzELYASAD4FOyenfNGGLWGCv9IeuNVdJne--2Xg6DsdtstJ3ymRn2vRqUjTIaZ9OwVT5KY-Phmlxq2Qd1c65z8vn0-LF-yTdvz6_r1SZvKa9iXlVqKTtVdUp3rCqbtlBtAa1WtC1w2UCiSmTIGs41R6WxrrFoUGteJ6qSbE7uTr7puO9RhSh2bvQ2rRS0Rg6s4gVLVHmiWu9C8EqLvTdDek0giGNa4i8tcUxLnNNKuoeTzljt_CB_nO87EeWhd157aVsTBPvf4hetHHQO |
| Cites_doi | 10.1016/j.ejor.2013.09.036 10.1515/9781400831050 10.1111/j.2517-6161.1955.tb00191.x 10.1137/0114008 10.1287/opre.1030.0065 10.1287/moor.23.4.769 10.1007/s10898-017-0518-9 10.1080/0305215X.2011.573852 10.1137/1016053 10.1287/opre.21.5.1154 10.1287/mnsc.1.3-4.197 10.1016/j.ejor.2016.01.017 10.1137/08073682X 10.1287/opre.43.2.264 10.1007/s101070100286 10.1007/s10107-003-0396-4 10.1080/17442508308833274 10.1016/S0167-6377(99)00016-4 10.1137/S0895479896298130 10.1007/PL00011380 10.1137/S1052623496305717 10.1007/978-1-4757-2620-6 10.1162/evco.2006.14.4.463 |
| ContentType | Journal Article |
| Copyright | 2022 Informa UK Limited, trading as Taylor & Francis Group 2022 2022 Informa UK Limited, trading as Taylor & Francis Group |
| Copyright_xml | – notice: 2022 Informa UK Limited, trading as Taylor & Francis Group 2022 – notice: 2022 Informa UK Limited, trading as Taylor & Francis Group |
| DBID | AAYXX CITATION 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1080/0305215X.2022.2150181 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1029-0273 |
| EndPage | 239 |
| ExternalDocumentID | 10_1080_0305215X_2022_2150181 2150181 |
| Genre | Research Article |
| GroupedDBID | -~X .7F .QJ 0BK 0R~ 29G 2DF 30N 4.4 5GY 5VS AAENE AAGDL AAHIA AAJMT AALDU AAMIU AAPUL AAQRR ABCCY ABFIM ABHAV ABJNI ABLIJ ABPAQ ABPEM ABTAI ABXUL ABXYU ACGEJ ACGFS ACGOD ACIWK ACTIO ADCVX ADGTB ADXPE AEISY AENEX AEOZL AEPSL AEYOC AFKVX AFRVT AGDLA AGMYJ AHDZW AIJEM AIYEW AJWEG AKBVH AKOOK ALMA_UNASSIGNED_HOLDINGS ALQZU AQRUH AQTUD ARCSS AVBZW AWYRJ BLEHA CCCUG CE4 CS3 DGEBU DKSSO EBS E~A E~B GTTXZ H13 HF~ HZ~ H~P IPNFZ J.P KYCEM LJTGL M4Z NA5 NX~ O9- P2P PQQKQ RIG RNANH ROSJB RTWRZ S-T SNACF TASJS TBQAZ TDBHL TEN TFL TFT TFW TN5 TNC TTHFI TUROJ TWF UT5 UU3 ZGOLN ~S~ 07I 1TA 4B5 AAYLN AAYXX ACTTO ADUMR ADXEU AEHZU AEZBV AFBWG AFFNX AFION AGBKS AGBLW AGVKY AGWUF AGYFW AKHJE AKMBP ALRRR ALXIB BGSSV BWMZZ C0- C5H CAG CITATION COF CYRSC DAOYK DEXXA EJD FETWF IFELN L8C NUSFT OPCYK TAJZE TAP UB6 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c286t-66e7ade6defd365bc4ec40cfe2c417b0c2851313b88f81ef19914b1ff890cf6a3 |
| IEDL.DBID | TFW |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000899349700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0305-215X |
| IngestDate | Wed Aug 13 02:29:10 EDT 2025 Sat Nov 29 06:22:51 EST 2025 Mon Oct 20 23:48:42 EDT 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c286t-66e7ade6defd365bc4ec40cfe2c417b0c2851313b88f81ef19914b1ff890cf6a3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-8414-6597 |
| PQID | 2918036843 |
| PQPubID | 53195 |
| PageCount | 21 |
| ParticipantIDs | crossref_primary_10_1080_0305215X_2022_2150181 proquest_journals_2918036843 informaworld_taylorfrancis_310_1080_0305215X_2022_2150181 |
| PublicationCentury | 2000 |
| PublicationDate | 2024-02-01 |
| PublicationDateYYYYMMDD | 2024-02-01 |
| PublicationDate_xml | – month: 02 year: 2024 text: 2024-02-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Abingdon |
| PublicationPlace_xml | – name: Abingdon |
| PublicationTitle | Engineering optimization |
| PublicationYear | 2024 |
| Publisher | Taylor & Francis Taylor & Francis Ltd |
| Publisher_xml | – name: Taylor & Francis – name: Taylor & Francis Ltd |
| References | e_1_3_3_18_1 e_1_3_3_17_1 e_1_3_3_19_1 e_1_3_3_14_1 e_1_3_3_13_1 e_1_3_3_16_1 e_1_3_3_15_1 e_1_3_3_10_1 e_1_3_3_12_1 e_1_3_3_11_1 Wets Roger J.-B. (e_1_3_3_26_1) 1983; 10 e_1_3_3_7_1 e_1_3_3_6_1 e_1_3_3_9_1 e_1_3_3_8_1 e_1_3_3_25_1 e_1_3_3_24_1 e_1_3_3_3_1 e_1_3_3_21_1 e_1_3_3_2_1 e_1_3_3_20_1 e_1_3_3_5_1 e_1_3_3_23_1 e_1_3_3_4_1 e_1_3_3_22_1 |
| References_xml | – ident: e_1_3_3_16_1 doi: 10.1016/j.ejor.2013.09.036 – ident: e_1_3_3_3_1 doi: 10.1515/9781400831050 – ident: e_1_3_3_22_1 – ident: e_1_3_3_2_1 doi: 10.1111/j.2517-6161.1955.tb00191.x – ident: e_1_3_3_24_1 doi: 10.1137/0114008 – ident: e_1_3_3_9_1 doi: 10.1287/opre.1030.0065 – ident: e_1_3_3_4_1 doi: 10.1287/moor.23.4.769 – ident: e_1_3_3_13_1 doi: 10.1007/s10898-017-0518-9 – ident: e_1_3_3_18_1 doi: 10.1080/0305215X.2011.573852 – ident: e_1_3_3_25_1 doi: 10.1137/1016053 – ident: e_1_3_3_23_1 doi: 10.1287/opre.21.5.1154 – ident: e_1_3_3_10_1 doi: 10.1287/mnsc.1.3-4.197 – ident: e_1_3_3_17_1 doi: 10.1016/j.ejor.2016.01.017 – ident: e_1_3_3_20_1 doi: 10.1137/08073682X – ident: e_1_3_3_21_1 doi: 10.1287/opre.43.2.264 – ident: e_1_3_3_7_1 doi: 10.1007/s101070100286 – ident: e_1_3_3_8_1 doi: 10.1007/s10107-003-0396-4 – volume: 10 start-page: 219 issue: 3 year: 1983 ident: e_1_3_3_26_1 article-title: Solving Stochastic Programs with Simple Recourse publication-title: Stochastics: An International Journal of Probability and Stochastic Processes doi: 10.1080/17442508308833274 – ident: e_1_3_3_5_1 doi: 10.1016/S0167-6377(99)00016-4 – ident: e_1_3_3_14_1 doi: 10.1137/S0895479896298130 – ident: e_1_3_3_6_1 doi: 10.1007/PL00011380 – ident: e_1_3_3_15_1 doi: 10.1137/S1052623496305717 – ident: e_1_3_3_19_1 doi: 10.1007/978-1-4757-2620-6 – ident: e_1_3_3_12_1 doi: 10.1162/evco.2006.14.4.463 – ident: e_1_3_3_11_1 |
| SSID | ssj0013008 |
| Score | 2.358358 |
| Snippet | This article studies binary linear programming problems in the presence of uncertainties that may prevent implementing the computed solution. This type of... |
| SourceID | proquest crossref informaworld |
| SourceType | Aggregation Database Index Database Publisher |
| StartPage | 219 |
| SubjectTerms | Constraints implementation uncertainty Knapsack problem Linear programming Mathematical models Parameters Robust binary linear optimization Robustness Uncertainty |
| Title | Robust binary linear programming under implementation uncertainty |
| URI | https://www.tandfonline.com/doi/abs/10.1080/0305215X.2022.2150181 https://www.proquest.com/docview/2918036843 |
| Volume | 56 |
| WOSCitedRecordID | wos000899349700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAWR databaseName: Taylor & Francis Online Journals customDbUrl: eissn: 1029-0273 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0013008 issn: 0305-215X databaseCode: TFW dateStart: 19740101 isFulltext: true titleUrlDefault: https://www.tandfonline.com providerName: Taylor & Francis |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NS8MwFA8yPOjBb3E6pQevnc1H0-Q4xOFBhsjU3kKSJrDDNmk7wf_epE1xQ8SD0ktb3kvLy3t5fc0vvwBwrbh2WUBmcWJdrUpSJWOGNY4TqaGkniGtmcF_ecgmE5bn_DGgCasAq_Q1tG2JIpqx2ge3VFWHiLvxPuoyVe6qO4SG7syTTrlR2KV-H5rT8evXPELS7EnnNWKv0q3h-amVjey0wV36baxuEtB4_x9e_QDsha_PaNS6yyHYMosjsLvGSXgMRk9LtarqSDULdSP_DFlGAcY1dyKRX3ZWRrN5hzz3Xetu6hZcUH-cgOfx3fT2Pg77LMQaMVrHlJpMFoYWxhaYpkoTo0mirUGawEwlTiqFGGLFmGXQWI-WIgpay7iTohKfgt5iuTBnIMIWQtMWjYiktuDGHQllhqPUZinqg2FnX_HW0mkI2LGUBtsIbxsRbNMHfL0XRN38x7DtpiMC_6I76LpMhMisBOKQuazNCD7_Q9MXYMddkha-PQC9ulyZS7Ct3-tZVV41PvgJSc3YXA |
| linkProvider | Taylor & Francis |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwED5BQQIG3ohCgQysKfEjjjNWiKqI0gEV6GbFji11aIvSFIl_j52HaIUQAyhLlPic6Hz2-ezvPgNcy1hZL5BEfmBsrEpDmficKOIHiUIJcwxpxQ7-Sz8aDPhoFC_nwjhYpYuhTUkUUYzVrnO7xegaEnfjjNS6qpEN7zBu2zvHOrUOG6H1tY4_f9h9_dpJCIpT6ZyI72TqLJ6fqlnxTyvspd9G68IFdff-4-f3YbeagHqd0mIOYE1PD2FniZbwCDpPM7mY554scnU995Ek8yok18QW8VzmWeaNJzX43LWufahKfEH-cQzP3bvhbc-vjlrwFeYs9xnTUZJqlmqTEhZKRbWigTIaK4oiGdhSISKISM4NR9o4wBSVyBge21IsISfQmM6m-hQ8YhDSZdyIaWjSWNsrYFzHODRRiJvQrhUs3kpGDYFqotJKN8LpRlS6aUK83AwiL5YyTHnuiCC_yLbqNhNV55wLHCNuHTen5OwPVV_BVm_42Bf9-8HDOWzbV7REc7egkWcLfQGb6j0fz7PLwiA_AQ883IY |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NS8MwFA86RfTgtzid2oPXzuajaXoc6lAcY8jU3UKTJrDDPmg7wf_epE1xQ8SD0ktp81Hee8nLa37vFwCuRSyNF0giP9AmViWhSHyGJfaDRMKEWoa0cgf_tRf1-2w0igcOTZg7WKWNoXVFFFHO1XZwz1NdI-JurI0aTzUy0R1CbXNnSafWwYZZOlNr5MPu29dGQlAeSmer-LZOncTzUzMr7mmFvPTbZF16oO7eP3z7Pth1y0-vU9nLAVhT00Ows0RKeAQ6zzOxyAtPlJm6nu0jyTyH45qYIp7NO8u88aSGnlvdmoeyQhcUH8fgpXs_vH3w3UELvkSMFj6lKkpSRVOlU0xDIYmSJJBaIUlgJAJTKoQYYsGYZlBpC5ciAmrNYlOKJvgENKazqToFHtYQqipqRCTUaazMFVCmYhTqKERN0K7ly-cVnwaHNU2pkw23suFONk0QL2uBF-WPDF2dOsLxL3Vbtcq4G5o5RzFkxm0zgs_-0PQV2BrcdXnvsf90DrbNG1JBuVugUWQLdQE25XsxzrPL0hw_AY_S2zg |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Robust+binary+linear+programming+under+implementation+uncertainty&rft.jtitle=Engineering+optimization&rft.au=Ramirez-Calderon%2C+Jose&rft.au=Jorge+Leon%2C+V.&rft.au=Lawrence%2C+Barry&rft.date=2024-02-01&rft.issn=0305-215X&rft.eissn=1029-0273&rft.volume=56&rft.issue=2&rft.spage=219&rft.epage=239&rft_id=info:doi/10.1080%2F0305215X.2022.2150181&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_0305215X_2022_2150181 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0305-215X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0305-215X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0305-215X&client=summon |